Geodesic
Higher Euler characteristics: Variations on a theme of Euler
Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 231-246.

Voir la notice de l'article provenant de la source International Press of Boston

We provide a natural interpretation of the secondary Euler characteristic and introduce higher Euler characteristics. For a compact oriented manifold of odd dimension, the secondary Euler characteristic recovers the Kervaire semi-characteristic. We prove basic properties of the higher invariants and illustrate their use. We also introduce motivic variants.
DOI : 10.4310/HHA.2016.v18.n1.a12
Classification : 13D15, 18G35, 55M99
Keywords: Euler characteristic, abelian category, cohomological invariant 
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     title = {Higher {Euler} characteristics: {Variations} on a theme of {Euler}},
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     pages = {231--246},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a12/}
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Niranjan Ramachandran. Higher Euler characteristics: Variations on a theme of Euler. Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 231-246. doi : 10.4310/HHA.2016.v18.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a12/

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